LCM Riddle 1

The lowest common multiple of 10 and a positive integer x x is 60. What is the smallest possible value of x ? x?


The answer is 12.

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2 solutions

Prince Loomba
Jan 26, 2017

10 = 5 × 2 , 60 = 5 × 2 × 2 × 3. 10=5×2, 60=5×2×2×3.

This means that the other number should have 2 2 two as factors and also a 3 3 . 5 5 is optional. So the numbers that can be made are only 12 12 and 60 60 .

So our answer is 12 \boxed {12}

Kim Ian Macay
Jan 30, 2017

can't it be 6?

6 = 2 * 3; 10 = 2 * 5; they share 2 so it doesn't need to be duplicated: 2 * 3 * 5 = 30.

Jason Dyer Staff - 4 years, 4 months ago

haahah i miss interpreted the question. peace yo

Kim Ian Macay - 4 years, 3 months ago

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